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Finding the Fourth Proportional to 655,359.29, 904,213.12 and 422,687.80

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Solution

The fourth proportional to 655,359.29, 904,213.12 and 422,687.80 is: 583,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,359.29 : 904,213.12 = 422,687.80 : x
  2. Step 2: Convert to fraction form
    655,359.29/904,213.12 = 422,687.80/x
  3. Step 3: Cross multiply
    655,359.29x = 904,213.12 × 422,687.80
  4. Step 4: Simplify right side
    655,359.29x = 382,199,854,423.94
  5. Step 5: Solve for x
    x = 382,199,854,423.94/655,359.29
  6. Step 6: Final answer
    x = 583,191.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.